Gaussian Elimination with Partial Pivoting

Solve the following system using Gaussian elimination with partial pivoting:
|1 -1 2 |---- |x1|-----|-2 |
|-2 1 -1 |--- |x2|--=-| 2 |
|4 -1 2 |-----|x3|----|-1 |

Show intermediate matrices, vectors and multipliers at each step.

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2) Perform row2 - (-2/4) * row1 and row3 - (1/4) _*row1:

3) Interchange row2 ...